ASVAB Study Guide
AR · Practice test 2 of 15

Arithmetic Reasoning Practice Test 2

Tap an answer to check it instantly and read the explanation. 10 questions: 5 easy, 4 medium and 1 hard.

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  1. Question 1 easy

    At a local technology startup, there are 108 developers, and the number of frontend developers is twice the number of backend developers. How many frontend developers work at the startup?

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    Correct answer: B — 72

    Let the number of backend developers be b. The number of frontend developers is $$2b$$.

    Total developers: $$b + 2b = 108 \Rightarrow 3b = 108 \Rightarrow b = 36$$.

    The number of frontend developers is: $$2 \times 36 = 72$$

  2. Question 2 easy

    Find two consecutive integers whose sum is equal to 175.

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    Correct answer: A — 87, 88

    Let the two consecutive integers be n and $$n + 1$$.

    Their sum: $$n + (n + 1) = 175 \Rightarrow 2n + 1 = 175 \Rightarrow 2n = 174 \Rightarrow n = 87$$.

    The two consecutive integers are 87 and 88.

  3. Question 3 easy

    A vintage comic book was purchased for $40 and later sold at an auction for $56. What was the percentage increase in its price?

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    Correct answer: C — 40%

    The price increase is: $$56 - 40 = 16$$.

    The percentage increase is: $$(\frac{16}{40}) \times 100\% = 40\%$$

  4. Question 4 medium

    Liam and four friends go to a diner for dinner. Each of the five orders the exact same meal combo, but Liam also orders an extra dessert costing $3.50. If the total bill comes to $52.25, how much of the bill is Liam's share?

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    Correct answer: B — $13.25

    There are 5 people in total (Liam + 4 friends). Let x be the cost of the main meal combo.

    Total cost: $$5x + 3.50 = 52.25 \Rightarrow 5x = 48.75 \Rightarrow x = 9.75$$.

    Liam's individual share is his meal plus the dessert: $$9.75 + 3.50 = 13.25$$

  5. Question 5 easy

    Clara deposits $4,500 into a high-yield savings account that pays an annual simple interest rate of 6%. How much interest will she earn in exactly one year?

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    Correct answer: A — $270

    Interest earned in one year = Principal × Rate × Time

    Interest = $$4{,}500 \times 6\% = 270$$

  6. Question 6 medium

    Child tickets for a theater show cost $6 each, and general admission adult tickets cost $15 each. If four times as many child tickets were sold as adult tickets, and the total box office revenue was $702, how many adult tickets were sold?

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    Correct answer: C — 18

    Let the number of adult tickets sold be a. The number of child tickets sold is $$4a$$.

    Total revenue equation: $$15a + 6(4a) = 702$$

    $$15a + 24a = 702 \Rightarrow 39a = 702 \Rightarrow a = \frac{702}{39} = 18$$

  7. Question 7 medium

    If a road trip of 120 miles takes Sarah 2.5 hours driving at a constant speed, how many hours will she need for a 216-mile trip at the exact same average speed?

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    Correct answer: B — 4.5 hours

    Speed = Distance / Time = 120 miles / 2.5 hours = 48 mph.

    Time needed for the 216-mile trip at this speed = $$\frac{216}{48} = 4.5$$ hours.

  8. Question 8 medium

    If a number is added to one-fifth of itself, the result is 192. What is the original number?

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    Correct answer: B — 160

    Let the original number be x.

    The equation is: $$x + (\frac{1}{5})x = 192 \Rightarrow 1.2x = 192 \Rightarrow x = \frac{192}{1.2} = 160$$

  9. Question 9 hard

    Marcus can paint a square wooden deck with sides of 15 feet in 75 minutes. How many minutes will it take him to paint a smaller square section of this deck with sides of 6 feet?

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    Correct answer: A — 12 minutes

    Work rates for painting scale with Area, not side length.

    Area of the large square deck: $$15 \times 15 = 225$$ sq ft.

    Area of the smaller square section: $$6 \times 6 = 36$$ sq ft.

    Ratio of areas: $$\frac{36}{225} = \frac{4}{25}$$.

    Since painting time scales proportionally with area, the time required is: $$75\text{ minutes} \times (\frac{36}{225}) = 12$$ minutes.

  10. Question 10 easy

    David's weight is 180 pounds. If four times Linda's weight equals three times David's weight, what is Linda's weight?

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    Correct answer: A — 135 pounds

    Let Linda's weight be L.

    We are given: $$4L = 3 \times \text{David's weight} \Rightarrow 4L = 3 \times 180 \Rightarrow 4L = 540 \Rightarrow L = \frac{540}{4} = 135$$ pounds.